If a bond's yield to maturity does not change, the return on the bond each year will be equal to the yield to maturity. Confirm this for both a premium and a discount bond using a 4-year 4.3 percent coupon bond with annual coupon payments and a face value of $1,000. Assume

If a bond's yield to maturity does not change, the return on the bond each year will be equal to the yield to maturity. Confirm this for both a premium and a discount bond using a 4-year 4.3 percent coupon bond with annual coupon payments and a face value of $1,000. Assume

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

See similar textbooks

Related questions

Q: A par bond has a yield to maturity of 1.5% and pays coupons semi-annually. What is the coupon…

A: The yield to maturity (YTM) of a bond selling at par has been provided. The bond pays coupon semi…

Q: Consider a bond with a principal of $1,000 that pays a coupon of $100 per year. If the bond matures…

A: Bond: It is a fixed income instrument that represents a loan made by an investor to a borrower. We…

Q: Using the information from the prior problem, what rate (in %s) do you expect a 5-year bond to have?…

A: Securities that provide constant cash flow at a timed interval in the form of coupons and belong to…

Q: A bond will pay an annual 7.5 per cent coupon until maturity (the next coupon will be paid in one…

Q: n-paying bond matures exactly 10 years and 4 months from now. Find the bond’s coupon rate if a…

A: Given question : Time period (years) 10.4 Future price 121 Current price 119 Interest rate…

Q: An investor wants to find the duration of a(n) 15-year, 5% semiannual pay, noncallable bond that's…

A: The problem requires the calculation of bond price with the given level of coupon rate and discount…

Q: The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change.…

A: A bond is a kind of debt security issued by the government and private companies to the public for…

Q: There is a goverment bond that pays %16 annual coupon interest however the payments are…

A: The price of the bond refers to the present value of all the future cash flows of that respective…

Q: Consider a bond with a face value of $5,000 that pays a coupon of $200 for 5 years. Suppose the bond…

A: YTM offers a thorough evaluation of a bond's prospective return by taking into account both coupon…

Q: A bond has a coupon rate of 8.1 percent and 5 years until maturity. If the yield to maturity is 11.3…

A: The price of the bond is calculated as present value of cash flows.

Q: Consider that you have in your portfolio a 3-year 3% coupon bond with face value of $100. The…

A: The duration of a Bond : is a measurement of the average term-to-maturity of that bond. In simple…

Q: Assume semi-annual payments. A bond has a coupon rate of 2.8% when yields are 4.33%. If the bond has…

A: Bond price is the present discounted value of its expected cash flow at the given interest rate. A…

Q: If a bond's yield to maturity does not change, the return on the bond each year will be equal to the…

A: The yield to maturity calculates a bond's annualized return on investment by taking into account…

Q: A par bond has a yield to maturity of 5.8% and pays coupons semi-annually. What is the coupon…

A: The coupon rate are fixed payment that are done to bond holders . As these are investment for the…

Q: The 1-year spot rate is 6%, the 2-year spot rate is 7%. The Treasury plans to issue 2-year maturity…

A: Bond is a debt security that is issued by organizations to raise debt funds from public and…

Q: Consider a 25-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual…

A: A bond is a fixed income security offering a defined set of periodic payments to the investor till…

Q: If you have a coupon bond, its face value is $1,000 and the coupon rate is 4%. Complete the…

A: Note: Present value factors are taken from the table provided, hence the answer might have rounding…

Q: A General Power bond carries a coupon rate of 8.2%, has 9 years until maturity, and sells at a yield…

A: Bonds are fixed-income assets that serve as a representation of investor loans to borrowers…

Q: Suppose a bond pays an annual coupon interest of $3000. Compute the yield per year that a bondholder…

A: Bonds are securities raised by the companies to arrange funds for the long term assets. In bonds,…

Q: Calculate the Present Value. The same bond has a future value of $1,000 (keeping the same prior…

A: Bond valuation entails determining the present value of a bond's future cash flows, which include…

Q: You purchase a bond with a $100, 000 face value. a. The bond has a semi annual coupon of $3,880 and…

A: A bond is a fixed-income security that offers the investor a fixed set of periodic payments and…

Q: Suppose you are reviewing a sheet for a bond portfolio and see the following information. These…

A: When an investor prefers to hold a set of securities that belong to bond investment alone, then the…

Q: A General Power bond carries a coupon rate of 10.0%, has 9 years until maturity, and sells at a…

A: Coupon rate = 10%No. of years = 9Yield to maturity = 9%

Q: When coupon payment is expressed as a percentage of the bond’s par value and annualized by…

A: Coupons are the annual interest rates paid on a bond. It is usually expressed as a percentage of the…

Q: What is the duration of the following bond:$1,000par value,6%annual coupon, 4 years to maturity, and…

A: Par value = $1,000Annual coupon rate = 6%Yield to maturity (YTM) = 6.5%Years to maturity = 4 years

Q: A ten-year maturity bond with a coupon rate of 6% is now selling at $1,085. What are the current…

A: Here,CouponRate is 6%Current Price of Bond is $1,085Time Period of Bond is 10 yearsFace Value of…

Q: Calculate the duration (and price ) of a bond with the following

A: The current price of a bond is the price which can be paid for the purchase of the bond. It is also…

Q: 3.Find the value of a 15 % coupon 3 year maturity bond, whose face value will be repaid at the end…

A: Face value of bond = $ 100 Coupon (C) = 15% No. of years n = 3 Redemption…

Q: A General Power bond carries a coupon rate of 9.2%, has 9 years until maturity, and sells at a yield…

A: ParticularAmountCoupon Rate9.20%No. of years (NPER)9YTM (RATE)8.20%Face Value (FV) $ 1,000.00

Q: Consider a bond with a coupon of 4.6 percent, five years to maturity, and a current price of…

A: Here,Increase in yield = 2%To Find:Part A. New price of the bond by using duration =?Part B. New…

Q: Consider a bond that has a life of 2 years and pays a coupon of 10% per annum (with semiannual…

A: Bond Valuation(a) Bond PriceConvert annual rates to semiannual rates:Coupon rate (semi-annual) = 10%…

Q: What is the yield to maturity on a bond that has a price of $1,700 and a coupon rate of 12% annually…

A: Information provided: Price = $1700 Future Value = $1000 Coupon rate = 12% Coupon payment = 120…

Q: 2. A bond pays semi-annual coupons with c(2) = .085. Assume the face value equals $10,000 and…

A: A bond amortization tables shows the amount of cash paid to bond holders, the interest expense used…

Q: A 15-year bond with a face value of $1,000 currently sells for $850. Which of the following…

A: The method of calculating a bond's present value of future cash flows, which takes into account both…

Q: A coupon bond of 8.4 percent with 18 years left to maturity is priced to offer a 6.70 percent yield…

A: Bond valuation refers to a method that is used to compute the current value or present value (PV) of…

Q: onsider a bond with one year remaining to maturity, a $1,000 face value, an 8 percent coupon rate…

A: Duration of bond is the weighted period required to recover all cash flows from the bond that are…

Q: When you use the effective annual yield on a semi-annual coupon bond to price the corresponding…

A: Effective annual yield is the annual return on an investment that takes into account compounding of…

Question

If a bond's yield to maturity does
not change, the return on the
bond each year will be equal to
the yield to maturity. Confirm this
for both a premium and a
discount bond using a 4-year
4.3 percent coupon bond with
annual coupon payments and a
face value of $1,000. Assume
the yield to maturity is 3.3
percent. Assume the yield to
maturity is 5.3 percent.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Computation of the return on the bond

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.

Similar questions

Give typing answer with explanation and conclusion A bond offers a coupon rate of 12%, paid annually, and has a maturity of 19 years. The current market yield is 13%. Face value is $1,000. If market conditions remain unchanged, what should be the Capital Gains Yield of the bond?
A bond with a 8-year duration is worth $1,074, and its yield to maturity is 7.4%. If the yield to maturity falls to 7.30%, you would predict that the new value of the bond will be approximately _________. a)$1,082.06 b)$1,075.07 c)$1,074.00 d) $1,072.93
A 4-year bond, with a face value of $1000, and a coupon rate of 5% (coupon is paid semi-annually), has current yield of 4.76%. Is this bond sold at a discount, or at a premium? Determine the yield to maturity of this bond.
Consider a two-year coupon bond issued by an airline with Face Value of $1,000, Coupon Rate of 3%, Annual Default Probability of 5%, & Risk-Free Interest Rate of 3% per year. Use a binomial tree to value the bond assuming no recovery. Show your work & write your answer in dollars and cents below. The value (price, expected present value, etc.) of the bond is _______.
You have a bond with the following features: - Semi-annual coupon payments. - Coupon rate 7.60%. - Face value $1,000. - 3.5 years to maturity. - Current market price $1,130. Requirements (A, B, and C are independent): 1. Calculate the duration and modified duration for this bond. Duration ___ Mduration ___ 2. Now, let’s assume the modified duration of this bond is 3 years. If the yield increases by 30 bps (basis points), what will the new price of the bond using modified duration? 3. If the yield drops by 75 bps, what is the actual new price of the bond?
A bond has a Macaulay duration of 12.00 and is priced to yield 10.0%. If interest rates go up so that the yield goes to 10.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 9.5%, what will be the bond's percentage change in price? Comment on your findings.
A bond that pays interest semiannually has a coupon rate of 5.08 percent and a current yield of 5.37 percent. The par value is $1,000. What is the bond's price?
A bond has a coupon rate of 8 percent, 7 years to maturity, semiannual interest payments, and a YTM of 7 percent. If interest rates suddenly rise by 1.5 percent, what will be the percentage change in the bond price?
For a one year holding period bond with no coupon payments, the interest rate is the same as the YTM which is the same as the return rate- true or false
A. You have a one-year zero coupon bond that pays 1,000 which price today is 909.09. You have a two-year coupon bond with a principal value of 2,000 and coupon rate of 10%. Its price is 1,845.334. Determine what is the term structure of interest rates for years 1 and 2. Draw the curve. B. Compute the duration for the coupon bond and for the zero coupon bond and explain how to compute the yield to maturity (only set the equation in the last case) for the coupon bond. C. Assume the YTM for the coupon bond is 14.74%. What is the modified duration for the two bonds? D. What would the new price of the two bonds be if the yield increases by 5%?
Consider purchasing a five-year, $1,000 par value bond with a 6% coupon and a 7% yield. The rates on the bond immediately after purchase increase to 8% and stay there till maturity. Calculate the realised horizon yield on a bond that you intend to hold to maturity. Annual interest accrues.
A general power bond varies a coupon rate of 9.2%, has 9 years until maturity, and sells at a yield to maturity of 8.2%. a. Wage interest payments do bond holders receive each year? b. At what price does the bond sell? c. What will happen to the bond price if the yield to maturity falls to 7.2%?d. If the yield to maturity falls to 7.2%, will the current yield be less, or more, than the yield to maturity, and by what percent?

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS